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Simplifying 3x + -1 = 5 + 3(2 + -3x) Reorder the terms: -1 + 3x = 5 + 3(2 + -3x) -1 + 3x = 5 + (2 * 3 + -3x * 3) -1 + 3x = 5 + (6 + -9x) Combine like terms: 5 + 6 = 11 -1 + 3x = 11 + -9x Solving -1 + 3x = 11 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -1 + 3x + 9x = 11 + -9x + 9x Combine like terms: 3x + 9x = 12x -1 + 12x = 11 + -9x + 9x Combine like terms: -9x + 9x = 0 -1 + 12x = 11 + 0 -1 + 12x = 11 Add '1' to each side of the equation. -1 + 1 + 12x = 11 + 1 Combine like terms: -1 + 1 = 0 0 + 12x = 11 + 1 12x = 11 + 1 Combine like terms: 11 + 1 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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